3x - 5 = 1 what is the value of x​

Answer:

axis of symmetry, x = - 2

Step-by-step explanation:

Given the quadratic function, f(x) = x² + 4x + 6:

where a = 1, b = 4, and c = 6.

Every parabola is symmetric about its axis, which means that if it were folded along its axis, the two parts would match.  The fold or line that divides the parabola into two matching halves is called the axis of symmetry. The highest or lowest point of a parabola is its vertex, which is on the axis of symmetry, x = h.

The x-coordinate of the axis of symmetry is: x = -b/2a

Substitute the given values into the formula:

x = -b/2a = -4/2(1) = -4/2 = -2

Therefore, the axis of symmetry, x = - 2

Answer:

c Calculate the product of the length and width, height and width and height and length then

multiply by 2.

Step-by-step explanation:

it will look like this 2lw+2hw+2hl

Answer:

pls follow me and !aekvas brainliest

Step-by-step explanation:

0.90 explanation is In figure

Answer:

C) Linear

Step-by-step explanation:

To find this, I turned the situation into an expression. The expression representing this would be: 2x + 5 (a linear function). The 2x represents how much his dad gives Joseph weekly. The 5 represents how much Joseph already has.

Hope it helps!

The Composite Trapezoidal rule is used to approximate the given integrals. In part (a), the integral \(\( \int_{1}^{2} x \ln x \, dx \)\) is approximated using \(\( n = 4 \)\)subintervals. In part (b), the integral\(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) is given with incorrect limits, so it cannot be evaluated.

To approximate \(\( \int_{1}^{2} x \ln x \, dx \)\) using the Composite Trapezoidal rule, we divide the interval \(\([1, 2]\) into \( n = 4 \)\) subintervals. The step size, \(\( h \)\), is calculated as\(\( h = \frac{b-a}{n} = \frac{2-1}{4} = \frac{1}{4} \)\). Then, we evaluate the function \(\( x \ln x \)\)at the endpoints of each subinterval and sum the areas of the trapezoids formed. The approximation formula for the Composite Trapezoidal rule is: \(\[\int_{a}^{b} f(x) \, dx \approx \frac{h}{2} \left[ f(a) + 2\sum_{i=1}^{n-1} f(x_i) + f(b) \right]\]\)

Using this formula, we can calculate the approximation for the given integral. The limits of the integral \(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) are given as \(\( 2 \)\) to 2 which indicates an interval of zero length. In this case, the integral cannot be evaluated since there is no interval over which to integrate.

Learn more about integrals here:

https://brainly.com/question/31059545

#SPJ11

Converting mL (milliliters) to L (liters).

5,450 mL is equal to 5.45 L.

We have,

In the metric system, there are different units of measurement for volume, such as milliliters (mL) and liters (L).

One liter is equal to 1000 milliliters.

So, to convert a volume measurement from milliliters to liters, you need to divide the volume in milliliters by 1000.

This is because there are 1000 milliliters in one liter.

So, to convert 5,450 mL to L, you would divide by 1000 as follows:

5,450 mL ÷ 1000

= 5.45 L

Therefore,

5,450 mL is equal to 5.45 L.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ1

To use the simplify square roots calculator, you need to enter the value whose square root you want to simplify and click on the "Simplify" or "Calculate" button to get the simplified form of the square root.

A simplify square roots calculator is a tool that simplifies square roots of numbers to their simplest form. To use this calculator, you simply need to enter the value whose square root you want to simplify. Here are the steps to use a simplify square roots calculator:

The simplify square roots calculator can be helpful in solving problems in algebra and calculus, as well as in everyday life, such as when working with measurements that involve square roots.

Learn more about calculus here:

https://brainly.com/question/22810844

#SPJ4

The distance of 40 lb will be 5ft, according to the question.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have the given information:

The fulcrum be located from the 40 lb.

The weight of bar is 9ft long.

Now, we will calculate the distance,

40x = 50(x-1)

40x = 50x - 50

40x - 50x = -50

-10x = -50

x = 5

Therefore, the required answer is 5ft.

To learn more about distance, visit:

brainly.com/question/15256256?referrer=searchResults

#SPJ4

a)  The x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

b) The coordinates of the vertex are (0.75, -5.125).

c) By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

\(2x^2 - 3x - 5 = 0\)

To solve this quadratic equation, we can either factor it or use the quadratic formula. In this case, factoring is not straightforward, so let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 2, b = -3, and c = -5. Substituting these values into the quadratic formula:

x = (-(-3) ± √((-3)^2 - 4(2)(-5))) / (2(2))

x = (3 ± √(9 + 40)) / 4

x = (3 ± √49) / 4

x = (3 ± 7) / 4

This gives us two possible solutions:

x1 = (3 + 7) / 4 = 10/4 = 2.5

x2 = (3 - 7) / 4 = -4/4 = -1

Therefore, the x-intercepts of the graph of f(x) are x = 2.5 and x = -1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or minimum, we need to consider the coefficient of the x^2 term in the function f(x). In this case, the coefficient is positive (2), which means the parabola opens upward and the vertex represents a minimum point.

To find the coordinates of the vertex, we can use the formula x = -b / (2a). In our equation, a = 2 and b = -3:

x = -(-3) / (2(2))

x = 3 / 4

x = 0.75

To find the corresponding y-coordinate, we substitute x = 0.75 into the function f(x):

f(0.75) = 2(0.75)^2 - 3(0.75) - 5

f(0.75) = 2(0.5625) - 2.25 - 5

f(0.75) = 1.125 - 2.25 - 5

f(0.75) = -5.125

Therefore, the coordinates of the vertex are (0.75, -5.125).

Part C: To graph the function f(x), we can follow these steps:

Plot the x-intercepts obtained in Part A: (2.5, 0) and (-1, 0).

Plot the vertex obtained in Part B: (0.75, -5.125).

Determine if the parabola opens upward (as determined in Part B) and draw a smooth curve passing through the points.

Extend the curve to the left and right of the vertex, ensuring symmetry.

Label the axes and any other relevant points or features.

By using the x-intercepts and vertex obtained in Parts A and B, we can accurately depict the shape and positioning of the parabolic graph of f(x).

The x-intercepts help determine where the graph intersects the x-axis, and the vertex helps establish the lowest point (minimum) of the parabola. The resulting graph should show a U-shaped curve opening upward with the vertex at (0.75, -5.125) and the x-intercepts at (2.5, 0) and (-1, 0).

For more such questions on intercepts visit:

https://brainly.com/question/24212383

#SPJ8

5.880512439 x 10^16

5.880512439 x 10^16Hope this helps!

Answer:

The answer is

→ 5.8805124e+16 or 5.880512439 x 10^16

Step-by-step explanation:

Solution for both: \(5.8805124e+16\)

First option: \(6437585839765349 + 52367538546941478 = 5.8805124e+16\)

Second option: \(5.880512439 * 10^1^6 = 5.8805124e+16\)

Therefore, \(5.8805124e+16\) is your answer.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt✨

Submitted on 4/20/2022 at 12:52 PM

(To avoid plagarism, by users whom decide to copy.)

Answer:

\(\sqrt{117}\)

Step-by-step explanation:

Use the Pythagorean Theorem by cutting rectangle ABCD diagonally.

6^2+9^2=(AC)^2

117=(AC)^2

So the length of AC is \(\sqrt{117}\)

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Learn more about divergence of the vector this link:

https://brainly.com/question/30907324

#SPJ11

Answer:

54 ;)

explanation:

6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 54

Answer:

---------------------------------------

Use two points on the line and the slope-intercept form:

Points are (0, 5) and (1, 1).

The first point is the y-intercept, so b = 5.

Find the slope:

The line is:

Answer:

2916 and 6724 respectively

Step-by-step explanation:

the steps on how to evaluate 54^2 and 82^2 using the formula for squaring a binomial are:

1. Write the binomial as a sum of two terms.

\(54^2 = (50 + 4)^2\)

\(82^2 = (80 + 2)^2\)

2. Square each term in the sum.

\(54^2 = (50)^2 + 2(50)(4) + (4)^2\\82^2 = (80)^2 + 2(80)(2) + (2)^2\)

3. Add the products of the terms.

\(54^2 = 2500 + 400 + 16 = 2916\\82^2 = 6400 + 320 + 4 = 6724\)

Therefore, the values  \(54^2 \:and \:82^2\)are 2916 and 6724, respectively.

Answer:

54² = 2916

82² = 6724

Step-by-step explanation:

A binomial refers to a polynomial expression consisting of two terms connected by an operator such as addition or subtraction. It is often represented in the form (a + b), where "a" and "b" are variables or constants.

The formula for squaring a binomial is:

\(\boxed{(a + b)^2 = a^2 + 2ab + b^2}\)

To evaluate 54² we can rewrite 54 as (50 + 4).

Therefore, a = 50 and b = 4.

Applying the formula:

\(\begin{aligned}(50+4)^2&=50^2+2(50)(4)+4^2\\&=2500+100(4)+16\\&=2500+400+16\\&=2900+16\\&=2916\end{aligned}\)

Therefore, 54² is equal to 2916.

To evaluate 82² we can rewrite 82 as (80 + 2).

Therefore, a = 80 and b = 2.

Applying the formula:

\(\begin{aligned}(80+2)^2&=80^2+2(80)(2)+2^2\\&=6400+160(2)+4\\&=6400+320+4\\&=6720+4\\&=6724\end{aligned}\)

Therefore, 82² is equal to 6724.

Explanation

Step 1

let n represents the number

so,

Five times a number

hence

Five times a number, minus three

"is" can written as equal (=),so

Five times a number, minus three, is twelve.

I hope this helps you

Answer:

The answer is below

Step-by-step explanation:

Given that:

Mean (μ) = 1.93, standard deviation (σ) = 1.08 pounds, sample (n) = 62.

the mean weight of discarded plastic for all household is given by:

\(\mu_x=\mu = 1.93\ pounds\)

The standard deviation of discarded plastic for all household is given by:

\(\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{1.08}{\sqrt{62} }=0.137\ pounds\)

The confidence (c) = 90% = 0.9

α = 1 - c = 1 - 0.9 = 0.1

α/2= 0.1/2 = 0.05

The z score of 0.05 corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645. i.e. \(z_\frac{\alpha}{2}=z_{0.05}=1.645\)

The margin of error (E) = \(z_{0.05}\frac{\sigma}{\sqrt{n} }=1.645*\frac{1.03}{\sqrt{62} }= 0.2256\)

The confidence interval = \(\mu \pm E=1.93 \pm 0.2256=(1.7044,2.1556)\)

We are 90% confidence that the value is between 1,7044 and 2.1556

The probability that at least one of the 10 shovels purchased by CBC facility services is defective is 0.9992. The probability that a randomly selected student at CBC who utilized the tutoring center passed their college-level math course on the first attempt is 0.1488.

(a) Probability of at least one defective shovel: Since there are 15 defective shovels out of 250 in the batch, the probability of selecting a defective shovel is\(15/250 = 0.06\). Therefore, the probability of not selecting a defective shovel is\(1 - 0.06 = 0.94\).

To find the probability that none of the 10 shovels purchased by CBC facility services is defective, we multiply the probability of not selecting a defective shovel for each purchase. Thus, the probability of all 10 shovels being non-defective is \(0.94^{10} = 0.0068\). Finally, to find the probability that at least one shovel is defective, we subtract this result from \(1: 1 - 0.0068 =0.9992\).

(b) Probability of utilizing the tutoring center and passing math: The probability of utilizing the tutoring center is given as 18% or 0.18. The probability of passing the math course given that the student utilized the tutoring center is 86% or 0.86.

To find the probability of both events occurring, we multiply these probabilities: \(0.18 * 0.86 = 0.1548\). Therefore, the probability that a randomly selected student at CBC utilized the tutoring center and passed their college-level math course on the first attempt is approximately 0.1548 or 0.1488 when rounded to four decimal places.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

The algebraic expression that represents the number of pieces on the chessboard after n pieces are removed is 32 - n.

The algebraic expression 32 - n represents the number of pieces on the chessboard after n pieces are removed. Since there are initially 32 pieces on the chessboard, subtracting n from that value gives us the remaining number of pieces. As pieces are removed, the total count decreases accordingly.

The expression 32 - n allows us to track the diminishing number of pieces as n increases, representing the changing state of the chessboard throughout the game.

You can learn more about algebraic expression at

https://brainly.com/question/4344214

#SPJ11

Answer:

8x+2=y

I hope this helps:)

Solution :

Given :

Perimeter, P = 16 m

The length is 4 times less then three times the width.

Let the length be l and width be w.

Therefore, according to the equation :

Length, l = 3w -  4  ................(i)

Perimeter, P  = 2(l+w)

                 16 = 2(l+w) ............(ii)

                 16 = 2l + 2w

                  8 = l + w ..............(iii)

Therefore solving equation (i) and (iii)

l = 3w - 4

8 = l + w

We get, w = 3  and l = 5

Answer:

16 divided by 3 = 5.3

Step-by-step explanation:

The angles formed when two lines cross each other sum over one line 180º:

Then, if one part of the angle is 32º the other part is:

In conclusion  62 inches is equal to 157.48 centimeters (rounded to the nearest tenth).

How to solve?

Part 1 of 2:

The first method to convert 62 inches to centimeters involves using the conversion factor of 1 inch equals 2.54 centimeters. We can set up a proportion to solve for the number of centimeters in 62 inches:

1 in. x cm

----- = -----

2.54 62 in.

To solve for x, we can cross-multiply and simplify:

1 × x = 2.54 × 62

x = 157.48

Therefore, 62 inches is equal to 157.48 centimeters (rounded to the nearest tenth).

So the first method gives us 157.5 cm as the answer.

Part 2 of 2:

The second method to convert 62 inches to centimeters involves multiplying 62 by the conversion factor of 2.54 centimeters per inch:

62 in. × 2.54 cm/in = 157.48 cm

Therefore, using this method, we also get 157.5 cm as the answer (rounded to the nearest tenth).

To know more about conversion factor related question visit:

https://brainly.com/question/30166433

#SPJ1

Answer:

4x - 8

Step-by-step explanation:

Let x be the number

I hope this helps!

True, conditional formulas can be used to exclude data from analysis if certain conditions are met. These formulas, often found in spreadsheet software and programming languages, allow you to set specific criteria that must be met in order for the data to be included or excluded from your analysis.

This can be useful in situations where you need to focus on specific subsets of data, or to remove outliers or irrelevant information from your dataset.

By incorporating conditional logic in your formulas, you can ensure that only relevant and useful data is included in your analysis, making it more accurate and efficient. Overall, the use of conditional formulas can greatly enhance your data analysis by providing a flexible and powerful tool to filter and process your data based on specific requirements.

for such more questions on data from analysis

https://brainly.com/question/14724376

#SPJ11

If  the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature

A linear graph can be either increasing, decreasing or constant.

Here the price of the car is being discounted $200 every week, so as the number of weeks increase, the price of the car decreases

So, the graph for this situation will be linearly decreasing.

The slope of this kind of graph is negative/

Therefore, If  the price of a used car is discounted $200 each week then the grapg will be linearly decreasing in nature

To learn more about linear inequalities graphs refer here

https://brainly.com/question/25799000

#SPJ1

Answer:

 =  5

Step-by-step explanation: